The linear momentum of a particle as a function of time t is given by p=a+bt, where a and b are positive constants. The force acting on the particle is

# The linear momentum of a particle as a function of time t is given by $\mathrm{p}=\mathrm{a}+\mathrm{bt}$, where a and b are positive constants. The force acting on the particle is

1. A

a

2. B

b

3. C

ab

4. D

$\mathrm{a}+\mathrm{b}$

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### Solution:

Force is rate of change of momentum.

$\mathrm{F}=\frac{\mathrm{dP}}{\mathrm{dt}}=\frac{\mathrm{d}\left(\mathrm{a}+\mathrm{bt}\right)}{\mathrm{dt}}=\mathrm{b}$

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